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Finding the Fourth Proportional to 3,231.72, 4,842.18 and 3,110.22

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Solution

The fourth proportional to 3,231.72, 4,842.18 and 3,110.22 is: 4,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.72 : 4,842.18 = 3,110.22 : x
  2. Step 2: Convert to fraction form
    3,231.72/4,842.18 = 3,110.22/x
  3. Step 3: Cross multiply
    3,231.72x = 4,842.18 × 3,110.22
  4. Step 4: Simplify right side
    3,231.72x = 15,060,245.08
  5. Step 5: Solve for x
    x = 15,060,245.08/3,231.72
  6. Step 6: Final answer
    x = 4,660.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.